Implicit differentiation: x^2 y + y^2 x

[Skye]

Find dy/dx by implicit diferentiation: x^2 y + y^2 x

I really don't understand this problem. I know you have to use the product rule but I don't how to set the problem up or put it together.

 

[galactus]

Re: Implicit differentiation

When you differentiate wrt y, stick in a dy/dx.

Product rule:

\(\displaystyle x^{2}\frac{dy}{dx}+2xy+y^{2}+2xy\frac{dy}{dx}=0\)

Now, solve for dy/dx.